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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a<0 > For fixed z and a=-35/8, b>=a > For fixed z and a=-35/8, b=33/8





http://functions.wolfram.com/07.23.03.bd4n.01









  


  










Input Form





Hypergeometric2F1[-(35/8), 33/8, -(19/4), z] == (2 (25840 - 6800 z - 11475 z^2 - 20230 z^3 - 45135 z^4 - 189720 z^5 + 912576 z^6 - 971776 z^7 + 319488 z^8) + (1/Sqrt[1 - z]) (51680 - 39440 z - 22610 z^2 - 30515 z^3 - 68340 z^4 - 328695 z^5 + 6000288 z^6 - 12435712 z^7 + 9531392 z^8 - 2555904 z^9))/ (51680 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (-1 + z)^4)










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02